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9920512 = 2137173
BaseRepresentation
bin100101110110…
…000000000000
3200200000101101
4211312000000
510014424022
6552344144
7150215530
oct45660000
920600341
109920512
115666478
1233a5054
132094634
1414634c0
15d0e627
hex976000

9920512 has 56 divisors (see below), whose sum is σ = 22805136. Its totient is φ = 4227072.

The previous prime is 9920507. The next prime is 9920513. The reversal of 9920512 is 2150299.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9920513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57258 + ... + 57430.

Almost surely, 29920512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11402568).

9920512 is an abundant number, since it is smaller than the sum of its proper divisors (12884624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9920512 is an equidigital number, since it uses as much as digits as its factorization.

9920512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 9920512 is about 3149.6844286373. The cubic root of 9920512 is about 214.8711107779.

The spelling of 9920512 in words is "nine million, nine hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 173 224 256 346 448 512 692 896 1024 1211 1384 1792 2048 2422 2768 3584 4096 4844 5536 7168 8192 9688 11072 14336 19376 22144 28672 38752 44288 57344 77504 88576 155008 177152 310016 354304 620032 708608 1240064 1417216 2480128 4960256 9920512